Hermitian self-dual codes over F-22m + uF(22m)
- 주제(키워드) Gray map , Self-dual code
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2014
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000086856
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2013.08.004
초록/요약
We present a method for construction of Hermitian self-dual codes over F-22m + uF(22m) from Hermitian self-dual codes over F-22m via a Gray map we define, where m is a positive integer. For constructing self-dual codes over F-2 + UF2 with an automorphism of odd order using the decomposition theory, it is necessary to find Hermitian self-dual codes over F-22m + uF(22m) for some appropriate positive integer m. Using the Gray map, we show how to check the equivalence of codes over F-22m + uF(22m) from the information on the equivalence of codes over F-22m. We thus classify all Hermitian self-dual codes over F-22 + uF(22) of lengths up to 8. Using these codes, we complete the classification of the Lee-extremal self-dual codes over F-2 + uF(2) of lengths 21 and 22 with a nontrivial automorphism of odd order; these were open cases in the authors' previous work [10]. (C) 2013 Elsevier Inc. All rights reserved.
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